کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1709313 1012849 2012 4 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
A note on the convexity assumption of possibilistic correlation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه سایر رشته های مهندسی مکانیک محاسباتی
پیش نمایش صفحه اول مقاله
A note on the convexity assumption of possibilistic correlation
چکیده انگلیسی

In 2005, Carlsson, Fullér and Majlender introduced a measure of possibilistic correlation   of fuzzy numbers AA and BB by their joint possibility distribution  CC as an average degree of interaction   between the γγ-level sets of AA and BB as compared to their individual dispersions. They proved that this possibilistic correlation coefficient   can never exceed 11 in absolute value, if all γγ-level sets of the joint possibility distribution CC are convex.In this communication, we shall formulate a special class of joint possibility distributions with non-convex γγ-level sets, for which the correlation coefficient can take values outside the interval [−1,1][−1,1]. In particular, this result will show that the assumption about the convexity of the level sets of CC is essential for the possibilistic correlation to be bounded by the interval [−1,1][−1,1].

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Applied Mathematics Letters - Volume 25, Issue 4, April 2012, Pages 672–675
نویسندگان
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